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Finding the Fourth Proportional to 5,486.12, 8,230.60 and 1,590.84

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Solution

The fourth proportional to 5,486.12, 8,230.60 and 1,590.84 is: 2,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.12 : 8,230.60 = 1,590.84 : x
  2. Step 2: Convert to fraction form
    5,486.12/8,230.60 = 1,590.84/x
  3. Step 3: Cross multiply
    5,486.12x = 8,230.60 × 1,590.84
  4. Step 4: Simplify right side
    5,486.12x = 13,093,567.70
  5. Step 5: Solve for x
    x = 13,093,567.70/5,486.12
  6. Step 6: Final answer
    x = 2,386.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.